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I paid for 50GB icloud space

I paid by credit card to buy 50GB of space 2 days ago, and now, after two days, it shows me still 5 GB space iCloud, I have received a confirmation of payment from my bank. Please advise what to do now

beta – How to free disk space under Mac OS Catalina?

diskutil shows

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Free space per container: 10.1 GB (10112528384 bytes) (exactly 19751032, 512 bytes)

The Finder says that I have 48.56 GB available. Any suggestions for the difference of 38 GB?

Catalina beta 4 will not be downloaded until I have more free space

Will the cost of leasing server space for Internet technology decrease in an ICE age?

Not quite sure this is the right place for this question but it is something that interests me a lot.

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Yes, down!

This interests me from a commercial point of view and I recognize that it is something that I do not know enough about.

I have followed general and alternative reports on the climate and I find it very irritating that it is an area in which we are often lied to.

I know that some websites are hosted in ICELAND

I know that there are certain advantages in terms of legal freedom for ICELand and I think that because of the high costs in cooling energy needed to cool the server technology, Iceland is in a position to force because it is very cold for long periods.

I am aware that the cost of building a data center is very high.

But here's where I start to guess …

If you start in very cold weather conditions, I think you will build your data center to optimize the environment.

But if you start now, then I think it would be very difficult to plan until the climate has changed. I just think that there are a lot of technical managers going in the wrong direction thinking about raising CO2 temperatures and investing incorrectly.

I just wonder for a country like the UK if it really makes a difference.

I do not know the answer to this question and I was wondering if anyone knew or where was the best place to look for answers to this question?
Thank you

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Look at an example here (using dummy data).

enter the description of the image here

For reference, the width of the map is about the width of the main content

on StackExchange sites.

As you can see, there is a lot of empty space between the main information area on the left and the contact button on the right.

I want to avoid multiple cards by "row" because I think it is confusing. The advantages of the current design are that they are easy to follow and read by our brains.

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pr.probability – Girsanov's theorem – Dependence of the probability space

I'm trying to understand the proof State of Novikov and other work in this area (Kazamaki, etc.) and for that I have to understand the Girsanov's theorem, which is also part of the evidence. In Karatzas, Shreve –Brownian motion and stochastic calculus we have:

5.1 Theorem (Girsanov (1960), Cameron and Martin (1944))
Let $ W $ to be a Brownian motion and $ X $ to be a continuous local martingale on a filtered probability space $ ( Omega, F, (F_t) _ {t geq 0}), P) $, such as
$ Z_t (X): = exp (X – frac {1} {2} [X]$ is a martingale. In this condition, the process defined
$ tilde {W} _t: = W_t – int_0 ^ tX_s ds $
is for each fixed $ T geq 0 $ a Brownian motion on $ ( Omega, F_T, F_ {0 leq t leq T}, P_T) $, or $ P_T (A): = E (1_A Z_T (X)) $ for everyone $ A in F_T $.

5.2 Corollary
Let $ W $ to be the coordinate mapping process
sure $ Omega: = C[0infty)$[0infty)$[0infty)$[0infty)$, so that $ F _ { infty} ^ W: = mathcal {B} (C[0infty))$[0infty))$[0infty))$[0infty))$. Let $ P $ to be Wiener measure on
$ ( Omega, F _ { infty} ^ W) $. Let $ X $ to be a continuous local martingale. Yes $ Z (X) $ is a martingale, then there is a
single probability measure $ tilde {P} $ satisfactory $ tilde {P} _ {| F_T} = P_T $, and $ tilde {W} $ as above is a Brownian motion on $ ( Omega, F _ { infty} ^ W, (F_t ^ W) _ {t geq 0}, tilde {P}) $.

As stated in the same book, we can not just define $ T = infty $ in 5.1, get 5.2 for an arbitrary probability space. But a lot of work in this area does not mention that and work with 5.1 on arbitray spaces. Is there perhaps an argument that I do not know? Thank you!